By providing a framework to describe continuous symmetries in physics, Lie groups are assigned an important role in theoretical and mathematical physics.
These symmetries are implemented on a physical system in terms of a representation of the group.
The representation theory of Lie groups plays a major role in many areas of physics:
For instance in classical mechanics, it appears in the study of orbital angular momentum [1]} and of the symplectic structure of the phase space [2]}.
In quantum theory, prominent examples are quantum control theory [3]} or quantum field theory [4]}.
Finally in special and general relativity, it is essential to study the representation theory of the Lorentz group and the Poincaré group as the symmetry groups of Minkowski spacetime [5]}.
